GCF of 898/32, 100/964
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 898/32, 100/964 i.e 2/7712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 898/32, 100/964.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 898/32,100/964?
Given fractions are 898/32,100/964
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 898/32,100/964, numerators are 898,100
Denominators are 32,964
The GCF of 898,100 is 2 .
LCM of 32,964 is 7712.
The greatest common factor of 898/32,100/964 = [GCF of 898,100]/[LCM of 32,964]= 2/7712
Therefore, the GCF of 898/32,100/964 is 2/7712.
To find the highest common factor of 898,100, we have to find the factors of both numbers and list the highest common factor.
The factors of 898 are 1, 2, 449, 898
The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
The HCF of 898,100 is 2.
Lets's calculate GCF of 898,100
| 2 | 898, 100 |
| 449, 50 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 898,100 By Matching Biggest Common Factor Method
Now, list down the factors of 898
:1,2,449,898
Now, list down the factors of 100
:1,2,4,5,10,20,25,50,100
Greatest Common Factor
We found the factors 898,100 . The biggest common factor number is the GCF number.
So the greatest common factor 898,100 is 2.
Lets's calculate LCM of 32,964
| 2 | 32, 964 |
| 2 | 16, 482 |
| 8, 241 |
∴ So the LCM of the given numbers is 2 x 2 x 8 x 241 = 7712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7712
Therefore, the GCF of Fractions 898/32,100/964 is 2/7712
Least Common Multiple of 32,964 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 32,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,964) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(32,964) x common factors =4 x 1 = 4
LCM(32,964) = ( 32 × 964 ) / 4
LCM(32,964) = 30848 / 4
LCM(32,964) = 7712
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FAQs on GCF of Fractions of 898/32, 100/964
1. What is the HCF of 898,100?
The HCF of 898,100 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 898/32, 100/964?
Answer: GCF of Numerators as per given numbers 898/32, 100/964 is
GCF of Numerators i.e. for 898,100 is 2
LCM of denominators i.e. for 32,964 is 7712.
Thus, GCF of Fractions is 2/7712.Finally, GCF of Fractions for 898/32, 100/964 is 2/7712.